Answer:
parallel = 4/3
perpendicular =-3/4
Step-by-step explanation:
Solve for y
-4x+3y=11
Add 4x to each side
3y = 4x+11
Divide by 3
y = 4/3 x +11/3
This is in the form y = mx+b where m is the slope
m =4/3
The parallel line has the same slope
parallel slope is 4/3
The perpendicular line has a negative reciprocal slope
m = -(1 /4/3) = - 3/4
12:45Answer:
Part A: 9 hours 45 minutes
Part B: $126.1575
Step-by-step explanation:
Part A,
From 7:45 to 12:15 is 4 hours and 30 minutes
From 12:45 which he clocked back in to 6:00 is 5 hours and 15 minutes.
4 hours and 30 minutes plus 5 hours and 15 minutes = 9 hours and 45 minutes.
Part B, 9 hours and 45 minutes can be represented as 9.45
And since he gets 15.35 "per" hour shows we can multiply.
15.35 x 9.45 = 126.1575
Therefor he earned 126.15.
The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.
Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.
Therefore ∠1 is just one-half of the ∠SUT.
Therefore the measurement of ∠1 is 17°.
Answer:
$2.72
Step-by-step explanation:
The increase from last week is the fraction ...
(new price)/(old price) -1 = (1.82/1.65) -1 = 17/165
so the amount of increase Sally will pay this week is ...
17/165×$26.40 = $2.72
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<em>Comment on the working</em>
We could work this several ways. Perhaps most straightforward would be to determine how many gallons Sally bought last week, and multiply that by the change in price. Or, the number of gallons could be multiplied by the new price per gallon and the difference from the old purchase amount found.
If you look at the numbers, you see that we have effectively done it the first way. The change in price is $0.17 per gallon, and the number of gallons Sally bought is $26.40/$1.65.
35714286/1000000000, simplified is <span>17857143/500000000.</span>
